Search a number
-
+
11222013141 = 32531011092137
BaseRepresentation
bin10100111001110001…
…00101010011010101
31001222002012100000100
422130320211103111
5140440313410031
65053314404313
7545043352323
oct123470452325
931862170010
1011222013141
114839596629
122212290699
13109ac1b481
14786582d13
1545a2e5de6
hex29ce254d5

11222013141 has 48 divisors (see below), whose sum is σ = 16839828720. Its totient is φ = 7197465600.

The previous prime is 11222013109. The next prime is 11222013211. The reversal of 11222013141 is 14131022211.

11222013141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 550090116 + 10671923025 = 23454^2 + 103305^2 .

It is not a de Polignac number, because 11222013141 - 25 = 11222013109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222013641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5250225 + ... + 5252361.

It is an arithmetic number, because the mean of its divisors is an integer number (350829765).

Almost surely, 211222013141 is an apocalyptic number.

It is an amenable number.

11222013141 is a deficient number, since it is larger than the sum of its proper divisors (5617815579).

11222013141 is a wasteful number, since it uses less digits than its factorization.

11222013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11222013141 its reverse (14131022211), we get a palindrome (25353035352).

The spelling of 11222013141 in words is "eleven billion, two hundred twenty-two million, thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 53 101 109 159 303 327 477 909 981 2137 5353 5777 6411 11009 16059 17331 19233 33027 48177 51993 99081 113261 215837 232933 339783 583477 647511 698799 1019349 1750431 1942533 2096397 5251293 11439361 12345449 23526233 34318083 37036347 70578699 102954249 111109041 211736097 1246890349 3740671047 11222013141